{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "<small>\n",
    "Copyright (c) 2017 Andrew Glassner\n",
    "\n",
    "Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n",
    "\n",
    "The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n",
    "\n",
    "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n",
    "</small>\n",
    "\n",
    "\n",
    "\n",
    "# Deep Learning From Basics to Practice\n",
    "## by Andrew Glassner, https://dlbasics.com, http://glassner.com\n",
    "------\n",
    "## Chapter 3: Probability\n",
    "### Miscellaneous images\n",
    "\n",
    "This notebook is provided as a “behind-the-scenes” look at code used to make some of the figures in this chapter. It is still in the hacked-together form used to develop the figures, and is only lightly commented."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from matplotlib import cm\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "import seaborn as sns ; sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "# Make a File_Helper for saving and loading files.\n",
    "\n",
    "save_files = True\n",
    "\n",
    "import os, sys, inspect\n",
    "current_dir = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))\n",
    "sys.path.insert(0, os.path.dirname(current_dir)) # path to parent dir\n",
    "from DLBasics_Utilities import File_Helper\n",
    "file_helper = File_Helper(save_files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# the f1 function\n",
    "def f1(precision, recall):\n",
    "    if precision+recall != 0:\n",
    "        return (2*precision*recall)/(precision+recall)\n",
    "    return 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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9Xu5YEATwfb/ReoyxQmxfjO976HbbTSwhCGJbYnKt9rc8/4XoPSpPq7W3s1ORZ29n/shL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qgIDJoMUtxcz2pjib9S0Z3tFuRhyGqB1ugK1r+WJCtLmuz6kc9JE2226HPu9wo2W2SSrudFVgzI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\nRoML6OzvG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H/+hbVzZLNZKIpbTNjCz3YPbVKpFKZM2RXf/Oa3AQCTJ0/Bq6++jKef/i1O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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d6d25f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SO6rbDqWqx00QxaC/CAJyvmEDcpq5aBGU8w1TsQiRLiSABYd+HOrTNlWJqv/hq/g3rzZC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u2ByK1iAKIGJhv5kzMmJpYw0t6wjgAdJ2JrTByN/sjRgn9HCK/I+iNdEdhPMTmOTfRMutW/CFFb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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d6d2d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show plots of the f1 score\n",
    "X = np.arange(0, 1, 0.02)\n",
    "Y = np.arange(0, 1, 0.02)\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "zs = np.array([f1(x,y) for x,y in zip(np.ravel(X), np.ravel(Y))])\n",
    "Z = zs.reshape(X.shape)\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.gca(projection='3d')\n",
    "ax.view_init(20, 260)\n",
    "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.coolwarm,\n",
    "    linewidth=0, antialiased=False)\n",
    "\n",
    "plt.title('F1 score')\n",
    "ax.set_xlabel('Precision')\n",
    "ax.set_ylabel('Recall')\n",
    "ax.set_zlabel('F1')\n",
    "\n",
    "file_helper.save_figure('260-degrees')\n",
    "plt.show()\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.gca(projection='3d')\n",
    "ax.view_init(20, 340)\n",
    "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.coolwarm,\n",
    "    linewidth=0, antialiased=False)\n",
    "\n",
    "plt.title('F1 score')\n",
    "ax.set_xlabel('Precision')\n",
    "ax.set_ylabel('Recall')\n",
    "ax.set_zlabel('F1')\n",
    "\n",
    "file_helper.save_figure('340-degrees')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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